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math.RT2022★ 2 cited
Construction of the traceless projection of tensors via the Brauer algebra
D. V. Bulgakova, Y. O. Goncharov, T. Helpin
We describe how traceless projection of tensors of a given rank can be constructed in a closed form. On the way to this goal we invoke the representation theory of the Brauer algeb…
math.RT2019
On the structure of modules over walled Brauer algebra via normal form and random walks
D. V. Bulgakova, Y. O. Goncharov
We analyze cyclic cell modules over walled Brauer algebra in terms of a certain normal form. The latter allows us to decompose the algebra into the generating set and annihilator i…